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A Simple Proof of Descartes's Rule of Signs.

Authors :
Xiaoshen Wang
Source :
American Mathematical Monthly. Jun/Jul2004, Vol. 111 Issue 6, p525-526. 2p.
Publication Year :
2004

Abstract

Provides a simple proof of Descartes' rule of signs in high school algebra. Proof of theorems; Variations in the signs of the sequence of coefficients; Number of positive zeros of p counting multiplicities by z; Nonnegative integers; Induction hypothesis; Arbitrary real numbers.

Details

Language :
English
ISSN :
00029890
Volume :
111
Issue :
6
Database :
Academic Search Index
Journal :
American Mathematical Monthly
Publication Type :
Academic Journal
Accession number :
13484543
Full Text :
https://doi.org/10.1080/00029890.2004.11920108